Asymptotic syzygies of secant varieties of curves

2021/03/19 by Gregory B. Taylor, Taylor, Gregory
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Meromorphic and Entire Functions #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.2103.10879

openalex publication_date 2021/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the minimal free resolution of the secant variety of a curve is asymptotically pure. As a corollary, we show that the Betti numbers of converge to a normal distribution.

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